Data commit

Task/Farey-sequence/C-sharp/farey-sequence.cs

@@ -0,0 +1,26 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+
+public static class FareySequence
+{
+    public static void Main() {
+        for (int i = 1; i <= 11; i++) {
+            Console.WriteLine($"F{i}: " + string.Join(", ", Generate(i).Select(f => $"{f.num}/{f.den}")));
+        }
+        for (int i = 100; i <= 1000; i+=100) {
+            Console.WriteLine($"F{i} has {Generate(i).Count()} terms.");
+        }
+    }
+
+    public static IEnumerable<(int num, int den)> Generate(int i) {
+        var comparer = Comparer<(int n, int d)>.Create((a, b) => (a.n * b.d).CompareTo(a.d * b.n));
+        var seq = new SortedSet<(int n, int d)>(comparer);
+        for (int d = 1; d <= i; d++) {
+            for (int n = 0; n <= d; n++) {
+                seq.Add((n, d));
+            }
+        }
+        return seq;
+    }
+}